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Finding the Third Proportional to 98,660 and 150,452

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Solution

The third proportional to 98,660 and 150,452 is: 229,432.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,660 : 150,452 = 150,452 : x
  2. Step 2: Convert to fraction form
    98,660/150,452 = 150,452/x
  3. Step 3: Cross multiply
    98,660x = 150,452 × 150,452
  4. Step 4: Simplify right side
    98,660x = 22,635,804,304
  5. Step 5: Solve for x
    x = 22,635,804,304/98,660
  6. Step 6: Final answer
    x = 229,432.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.